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A martingale approach to premium calculation principles in an arbitrage free market

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  • Delbaen, F.
  • Haezendonck, J.

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  • Delbaen, F. & Haezendonck, J., 1989. "A martingale approach to premium calculation principles in an arbitrage free market," Insurance: Mathematics and Economics, Elsevier, vol. 8(4), pages 269-277, December.
  • Handle: RePEc:eee:insuma:v:8:y:1989:i:4:p:269-277
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    Cited by:

    1. Shah, Anand, 2016. "Pricing and Risk Mitigation Analysis of a Cyber Liability Insurance using Gaussian, t and Gumbel Copulas – A case for Cyber Risk Index," MPRA Paper 111968, University Library of Munich, Germany.
    2. Spyridon M. Tzaninis & Nikolaos D. Macheras, 2020. "A characterization of progressively equivalent probability measures preserving the structure of a compound mixed renewal process," Papers 2007.05289, arXiv.org, revised Jul 2020.
    3. Francesca Biagini & Jan Widenmann, 2012. "Pricing Of Unemployment Insurance Products With Doubly Stochastic Markov Chains," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 15(04), pages 1-32.
    4. Andreas Tsanakas & Evangelia Desli, 2005. "Measurement and Pricing of Risk in Insurance Markets," Risk Analysis, John Wiley & Sons, vol. 25(6), pages 1653-1668, December.
    5. Steffensen, Mogens, 2000. "A no arbitrage approach to Thiele's differential equation," Insurance: Mathematics and Economics, Elsevier, vol. 27(2), pages 201-214, October.
    6. Burnecki, Krzysztof & Giuricich, Mario Nicoló & Palmowski, Zbigniew, 2019. "Valuation of contingent convertible catastrophe bonds — The case for equity conversion," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 238-254.
    7. Muermann, Alexander, 2002. "Pricing catastrophe insurance derivatives," LSE Research Online Documents on Economics 24904, London School of Economics and Political Science, LSE Library.
    8. Iwaki, Hideki & Kijima, Masaaki & Morimoto, Yuji, 2001. "An economic premium principle in a multiperiod economy," Insurance: Mathematics and Economics, Elsevier, vol. 28(3), pages 325-339, June.
    9. Alexander Muermann, 2002. "Pricing Catastrophe Insurance Derivatives," FMG Discussion Papers dp400, Financial Markets Group.
    10. Wang, Shaun, 1996. "Ordering of risks under PH-transforms," Insurance: Mathematics and Economics, Elsevier, vol. 18(2), pages 109-114, July.
    11. Møller, T., 2002. "On Valuation and Risk Management at the Interface of Insurance and Finance," British Actuarial Journal, Cambridge University Press, vol. 8(4), pages 787-827, October.
    12. Becherer, Dirk, 2003. "Rational hedging and valuation of integrated risks under constant absolute risk aversion," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 1-28, August.
    13. Fischer, Tom, 2007. "A law of large numbers approach to valuation in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 40(1), pages 35-57, January.
    14. Blanchet-Scalliet, Christophette & El Karoui, Nicole & Martellini, Lionel, 2005. "Dynamic asset pricing theory with uncertain time-horizon," Journal of Economic Dynamics and Control, Elsevier, vol. 29(10), pages 1737-1764, October.
    15. Stephen J. Mildenhall, 2017. "Actuarial Geometry," Risks, MDPI, vol. 5(2), pages 1-44, June.
    16. Frédéric Godin & Van Son Lai & Denis-Alexandre Trottier, 2019. "A General Class of Distortion Operators for Pricing Contingent Claims with Applications to CAT Bonds," Working Papers 2019-004, Department of Research, Ipag Business School.
    17. Paul Embrechts, 1996. "Actuarial versus Financial Pricing of Insurance," Center for Financial Institutions Working Papers 96-17, Wharton School Center for Financial Institutions, University of Pennsylvania.

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